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Proof step 35 from proof divi-same (previous step)

m * n2 + n = m * n1 + n0, n0 < n ⊦ n = 0, m | dist(n, n0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 36:
⊦ n < m → dist(m, n) = m - n
Proof step 37:
n0 < n, m * n2 + n = m * n1 + n0, n0 < n ⊦ n = 0, m | n - n0

Rule argument

spec: nat-prime inst: name: dist-snd seq: ⊦ n < m → dist(m, n) = m - n subst: [n, m] → [n0, n] flags: rewrite, current

Additional information

Used terms: n0, n